Abstract
Stable suspension of the nanoparticles in the base fluids is inevitable to have the nanofluids be operated properly. Here we report the theoretical model to find the critical size of aggregates in nanofluids for the first time. The concept of relaxation time τ r is adopted, which reflects the probability of encountering the particles. The hydrodynamic diameter of the aggregates in nanofluids must be kept below the critical size to be stably suspended, which is in good agreement with the experimental results.
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References
J. C. Maxwell, A treatise on electricity and magnetism, Clarendon Press: Oxford, UK (1873).
S. U. S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, ASME FED Vol. 231/MD Vol. 66 (1995) 99–105.
Q. Z. Xue, Model for effective thermal conductivity of nanofluids, Phys. Lett. A, 307 (2003) 313–317.
S. P. Jang and S. U. S. Choi, Role of Brownian motion in the enhanced thermal conductivity of nanofluids, Appl. Phys. Lett., 84 (2004) 4316–4318.
J. Koo and C. Kleinstreuer, A new thermal conductivity model for nanofluids, J. Nanopart. Research, 6 (2004) 577–588.
P. Bhattacharya, S. K. Saha, A. Yadav, P. E. Phelan and R. S. Prasher, Brownian dynamics simulation to determine the effective thermal conductivity of nanofluids, J. Appl. Phys., 95 (2004) 6492–6494.
J. Y. Jung and J. Y. Yoo, Thermal conductivity enhancement of nanofluids in conjunction with electrical double layer (EDL), Int. J. Heat Mass Transfer, 52 (2009) 525–528.
R. Prasher, P. Bhattacharya and P. E. Phelan, Thermal conductivity of nanoscale colloidal solutions (nanofluids), Phys. Rev. Lett., 94 (2005) 025901.
D. Lee, J. W. Kim and B. G. Kim, A new parameter to control heat transport in nanofluids: Surface charge state of the particle in suspension, J. Phys. Chem. B, 110 (2006) 4323–4328.
D. Lee, Thermophysical properties of interfacial layer in nanofluids, Langmuir, 23 (2007) 6011–6018.
C. H. Chon, K. D. Kihm, S. P. Lee and S. U. S. Choi, Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement, Appl. Phys. Lett., 87 (2005) 153107.
R. Prasher, P. E. Phelan and P. Bhattacharya, Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid), Nano Lett., 6 (2006) 1529–1534.
J. Eapen, W. C. Williams, J. Buongiorno, L. W. Hu, S. Yip, R. Rusconi and R. Piazza, Mean-field versus microconvection effects in nanofluid thermal conduction, Phys. Rev. Lett., 99 (2007) 095901.
L. Wang and X. Wei, Heat conduction in nanofluids, Chaos, Solitons & Fractals, 39 (2009) 2211–2215.
P. D. Shima, J. Philip and B. Raj, Role of microconvection induced by Brownian motion of nanoparticles in the enhanced thermal conductivity of stable nanofluids, Appl. Phys. Lett., 94 (2009) 223101.
C. H. Chon and K. D. Kihm, Thermal conductivity enhancement of nanofluids by Brownian motion, J. Heat Transfer, 127 (2005) 810.
S. Krishnamurthy, P. Lhattacharya, P. E. Phelan and R. S. Prasher, Enhanced mass transport in nanofluids, Nano Lett., 6 (2006) 419–423.
J. K. Lee, H. Kim, M. H. Kim, J. Koo and Y. T. Kang, The effect of additives and nanoparticles on falling film absorption performance of binary nanofluids (H2O/LiBr + panoparticles), J. Nanosci. Nanotech., 9 (2009) 7456–7460.
J. Y. Jung and Y. T. Kang, Effect of surface charge state on the thermal conductivity of nanofluids, Heat Mass Transfer, 48 (2012) 713–718.
J. Y. Jung, E. S. Kim and Y. T. Kang, Stabilizer effect on CHF and boiling heat transfer coefficient of alumina/water nanofluids, Int. J. Heat Mass Transfer, 55 (2012) 1941–1946.
J. Y. Jung, C. Cho, W. H. Lee and Y. T. Kang, Thermal conductivity measurement and characterization of binary nanofluids, Int. J. Heat Mass Transfer, 54 (2011) 1728–1733.
H. Y. Sul, J. Y. Jung and Y. T. Kang, Thermal conductivity enhancement of binary nanoemulsion (O/S) for absorption application, Int. J. Heat Mass Transfer, 54 (2011) 1649–1653.
G. K. Batchelor, Sedimentation in a dilute dispersion of spheres, J. Fluid Mech. Digital Archive, 52 (1972) 245–268.
E. Dokou, M. A. Barteau, N. J. Wagner and A. M. Lenhoff, Effect of gravity on colloidal deposition studied by atomic force microscopy, J. Colloid Interface Sci., 240 (2001) 9–16.
T. Niida, Y. Kousaka and T. Furukawa, Removal of adhering particles of polystyrene latex and iron oxide on a wall by shear flow in water, Part. Parti. Syst. Charact., 6 (1989) 69–73.
D. C. Prieve and E. Ruckenstein, Effect of London forces upon the rate of deposition of Brownian particles, AIChE J., 20 (1974) 1178–1187.
R. J. Hunter, Foundations of colloid science, 1st ed. Clarendon Press: Oxford (1987).
D. H. Napper, Polymeric stabilization of colloidal dispersions, Academic Press: London (1983).
C. L. Tien and J. H. Lienhard, Statistical thermodynamics, Holt, Rinehart and Winston Inc.: New York (1979).
S. Z. Heris, M. N. Esfahany and S. G. Etemad, Experimental investigation of convective heat transfer of Al2O3/water nanofluid in circular tube, Int. J. Heat Fluid Flow, 28 (2007) 203–210.
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Recommended by Editor Haecheon Choi
Jung-Yeul Jung received his BS, MS, and Ph.D degree in Mechanical Engineering from Chung-Ang University in 2001, 2003 and 2007, respectively. He is a senior researcher in Korea Institute of Ocean Science and Technology (KIOST). His research interests are carbon capture and storage (CCS), heat & mass transfer, nanofluids, biosensors and heat exchangers.
Junemo Koo completed his Ph.D degree in Department of Mechanical and Aerospace Engineering, North Carolina State University, NC, USA. He is currently associate professor in Department of Mechanical Engineering, Kyung Hee University. His research area covers heat and mass transfer issues in nanofluids, battery system, building energy, and food engineering.
Yong Tae Kang received his BS, MS and Ph.D. degrees in Mechanical Engineering from Seoul National University in 1987 and 1989, and The Ohio State University in 1994, respectively. Currently, he is a Professor at the Department of Mechanical Engineering, Kyung Hee University, Yongin, Korea. His research interests are CO2 absorption & regeneration, heat & mass transfer, nanofluids, heat pump and air conditioning and refrigeration.
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Jung, JY., Koo, J. & Kang, Y.T. Model for predicting the critical size of aggregates in nanofluids. J Mech Sci Technol 27, 1165–1169 (2013). https://doi.org/10.1007/s12206-013-0224-6
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DOI: https://doi.org/10.1007/s12206-013-0224-6